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104418516969 = 3213127255333
BaseRepresentation
bin110000100111111010…
…1000001111111101001
3100222112002212021001100
41201033311001333221
53202322120020334
6115545203112013
710354405515114
oct1411765017751
9328462767040
10104418516969
1140313592318
12182a1672609
139b01056b20
1450a7bd957b
152ab20cec99
hex184fd41fe9

104418516969 has 36 divisors (see below), whose sum is σ = 163720800516. Its totient is φ = 63750431808.

The previous prime is 104418516953. The next prime is 104418516989. The reversal of 104418516969 is 969615814401.

104418516969 is a `hidden beast` number, since 1 + 0 + 4 + 418 + 5 + 169 + 69 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 16780611600 + 87637905369 = 129540^2 + 296037^2 .

It is not a de Polignac number, because 104418516969 - 24 = 104418516953 is a prime.

It is a super-2 number, since 2×1044185169692 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (104418516919) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1859427 + ... + 1914759.

Almost surely, 2104418516969 is an apocalyptic number.

It is an amenable number.

104418516969 is a deficient number, since it is larger than the sum of its proper divisors (59302283547).

104418516969 is a wasteful number, since it uses less digits than its factorization.

104418516969 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55606 (or 55476 counting only the distinct ones).

The product of its (nonzero) digits is 1866240, while the sum is 54.

The spelling of 104418516969 in words is "one hundred four billion, four hundred eighteen million, five hundred sixteen thousand, nine hundred sixty-nine".

Divisors: 1 3 9 13 39 117 127 381 1143 1651 4953 14859 16129 48387 55333 145161 165999 209677 497997 629031 719329 1887093 2157987 6473961 7027291 21081873 63245619 91354783 274064349 822193047 892465957 2677397871 8032193613 11602057441 34806172323 104418516969